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130495104 = 273361619
BaseRepresentation
bin1111100011100…
…11001010000000
3100002112211122000
413301303022000
5231401320404
620540544000
73143122125
oct761631200
9302484560
10130495104
116772a9a3
1237852000
132105cc4c
141348c74c
15b6ca339
hex7c73280

130495104 has 128 divisors (see below), whose sum is σ = 392088000. Its totient is φ = 42716160.

The previous prime is 130495081. The next prime is 130495109. The reversal of 130495104 is 401594031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (130495109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210507 + ... + 211125.

Almost surely, 2130495104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130495104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196044000).

130495104 is an abundant number, since it is smaller than the sum of its proper divisors (261592896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130495104 is an equidigital number, since it uses as much as digits as its factorization.

130495104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 130495104 is about 11423.4453646875. The cubic root of 130495104 is about 507.2219888499.

The spelling of 130495104 in words is "one hundred thirty million, four hundred ninety-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 288 366 384 432 488 549 576 619 732 864 976 1098 1152 1238 1464 1647 1728 1857 1952 2196 2476 2928 3294 3456 3714 3904 4392 4952 5571 5856 6588 7428 7808 8784 9904 11142 11712 13176 14856 16713 17568 19808 22284 23424 26352 29712 33426 35136 37759 39616 44568 52704 59424 66852 70272 75518 79232 89136 105408 113277 118848 133704 151036 178272 210816 226554 237696 267408 302072 339831 356544 453108 534816 604144 679662 713088 906216 1019493 1069632 1208288 1359324 1812432 2038986 2139264 2416576 2718648 3624864 4077972 4833152 5437296 7249728 8155944 10874592 14499456 16311888 21749184 32623776 43498368 65247552 130495104